Fraction Calculator
Perform arithmetic operations on fractions with automated GCD reduction, mixed number display, and decimal conversions.
Decimal
0.833333
Simplified
5/6
Mixed Number
5/6
How to Use the Fraction Calculator
- Enter the numerator and denominator for your first fraction.
- Select the mathematical operation: Addition (+), Subtraction (−), Multiplication (×), or Division (÷).
- Enter the numerator and denominator for your second fraction.
- View the simplified fraction, mixed number, and decimal equivalent.
Formulas & Principles
Addition: (a/b) + (c/d) = (ad + bc) / bd
Subtraction: (a/b) - (c/d) = (ad - bc) / bd
Multiplication: (a/b) × (c/d) = (ac) / (bd)
Division: (a/b) ÷ (c/d) = (a/b) × (d/c) = (ad) / (bc)
Frequently Asked Questions
How do you reduce a fraction to its simplest form?
Find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by that number.
How do you divide two fractions?
Keep the first fraction, change the division sign to multiplication, and flip the second fraction to its reciprocal (invert and multiply).
What is an improper fraction versus a mixed number?
An improper fraction has a numerator greater than or equal to its denominator (e.g. 7/4). A mixed number expresses the same quantity with a whole number and proper fraction (e.g. 1 3/4).
Why this calculator matters
This calculator helps solve mathematical problems faster and with fewer manual arithmetic mistakes. It is useful for studying, research verification, technical engineering checks, and everyday problem-solving.
When to use it
Use it when you need a fast answer, a cross-check for manual calculations, or a clear step-by-step verification of your result.
Quick tips
Double-check your inputs, keep units consistent across all fields, and verify boundary conditions.
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